View example sentences, synonyms and word forms for Graph.
Graph
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Graph meaning
A data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set, whose elements are indexed to those of the former set(s) and may or may not be numbers. | A set of points constituting a graphical representation of a real function; (formally) a set of tuples (x_1,x_2,…,x_m,y)∈ R ᵐ⁺¹, where y=f(x_1,x_2,…,x_m) for a given function f: R ᵐ→ R . See also Graph of a function on Wikipedia.Wikipedia | A set of vertices (or nodes) connected together by edges; (formally) an ordered pair of sets (V,E), where the elements of V are called vertices or nodes and E is a set of pairs (called edges) of elements of V. See also Graph (discrete mathematics) on Wikipedia.Wikipedia
Synonyms of Graph
Example sentences (20)
A 1-planar graph is a graph that may be drawn in the plane with at most one simple crossing per edge, and a k-planar graph is a graph that may be drawn with at most k simple crossings per edge.
Additionally, subdividing a graph cannot turn a nonplanar graph into a planar graph: if a subdivision of a graph G has a planar drawing, the paths of the subdivision form curves that may be used to represent the edges of G itself.
Circumference of a graph In graph theory the circumference of a graph refers to the longest cycle contained in that graph.
Other related families An apex graph is a graph that may be made planar by the removal of one vertex, and a k-apex graph is a graph that may be made planar by the removal of at most k vertices.
A graph drawing should not be confused with the graph itself (the abstract, non-visual structure) as there are several ways to structure the graph drawing.
Any directed graph generates a small category: the objects are the vertices of the graph, and the morphisms are the paths in the graph (augmented with loops as needed) where composition of morphisms is concatenation of paths.
As shown in Figure 3, if the discriminant is positive, the graph touches the x -axis at two points; if zero, the graph touches at one point; and if negative, the graph does not touch the x -axis.
As special cases, an empty graph, a single tree, and the discrete graph on a set of vertices (that is, the graph with these vertices that has no edges), are examples of forests.
For instance, in the problem of finding whether a graph is connected, how much more time does it take to solve a problem for a graph with 2n vertices compared to the time taken for a graph with n vertices?
Graph structure Example history graph of a revision-controlled project; trunk is in green, branches in yellow, and graph is not a tree due to presence of merges (the red arrows).
This replaces the original graph with a complete graph in which the inter-city distance is replaced by the shortest path between A and B in the original graph.
Lots of information is shown on the right side of the graph in the FAST Facts box and graph color key area.
Quiet sounds are at the top of the graph, while very loud sounds are at the bottom of the graph.
This allows the graph to show the state’s densest counties, Milwaukee and Waukesha, on the same graph as Wisconsin’s many rural counties.
Node2vec learns node representations, while Graph Neural Networks (GNNs) incorporate graph structures, enabling tasks like link prediction and recommendations.
Knowledge Graph is used as a base of knowledge that expresses in graph form the relationships among people or things.
Some graph databases require you to define a for your graph—i.e. defining or names for your vertices, edges, and properties prior to populating any data—while other databases allow you to operate without a fixed schema.
A "coin graph" is a graph formed by a set of circles, no two of which have overlapping interiors, by making a vertex for each circle and an edge for each pair of circles that kiss.
A dependency graph is a graph that has a vertex for each object to be updated, and an edge connecting two objects whenever one of them needs to be updated earlier than the other.
A graph structure can be extended by assigning a weight to each edge of the graph.